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Finding the Third Proportional to 819.28 and 1,769.34

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Solution

The third proportional to 819.28 and 1,769.34 is: 3,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.28 : 1,769.34 = 1,769.34 : x
  2. Step 2: Convert to fraction form
    819.28/1,769.34 = 1,769.34/x
  3. Step 3: Cross multiply
    819.28x = 1,769.34 × 1,769.34
  4. Step 4: Simplify right side
    819.28x = 3,130,577.31
  5. Step 5: Solve for x
    x = 3,130,577.31/819.28
  6. Step 6: Final answer
    x = 3,821.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.